Concepts of Modern Mathematics

<p>Some years ago new math took the country's classrooms by storm. Based on the abstract general style of mathematical exposition favored by research mathematicians its goal was to teach students not just to manipulate numbers and formulas but to grasp the underlying mathematical concepts. The result at least at first was a great deal of confusion among teachers students and parents. Since then the negative aspects of new math have been eliminated and its positive elements assimilated into classroom instruction.<br>In this charming volume a noted English mathematician uses humor and anecdote to illuminate the concepts underlying new math groups sets subsets topology Boolean algebra and more. According to Professor Stewart an understanding of these concepts offers the best route to grasping the true nature of mathematics in particular the power beauty and utility of <i>pure </i>mathematics. No advanced mathematical background is needed (a smattering of algebra geometry and trigonometry is helpful) to follow the author's lucid and thought-provoking discussions of such topics as functions symmetry axiomatics counting topology hyperspace linear algebra real analysis probability computers applications of modern mathematics and much more.<br>By the time readers have finished this book they'll have a much clearer grasp of how modern mathematicians look at figures functions and formulas and how a firm grasp of the ideas underlying new math leads toward a genuine comprehension of the nature of mathematics itself.</p><p></p>